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Finding the Third Proportional to 25,111.50 and 54,111

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Solution

The third proportional to 25,111.50 and 54,111 is: 116,599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,111.50 : 54,111 = 54,111 : x
  2. Step 2: Convert to fraction form
    25,111.50/54,111 = 54,111/x
  3. Step 3: Cross multiply
    25,111.50x = 54,111 × 54,111
  4. Step 4: Simplify right side
    25,111.50x = 2,928,000,321
  5. Step 5: Solve for x
    x = 2,928,000,321/25,111.50
  6. Step 6: Final answer
    x = 116,599.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.